Resonance equals reducibility for A-hypergeometric systems

被引：23

作者：

Schulze, Mathias ^{[1
]}

Walther, Uli ^{[2
]}

机构：

[1] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

ALGEBRA & NUMBER THEORY | 2012年 / 6卷 / 03期

基金：

美国国家科学基金会;

关键词：

toric; hypergeometric; Euler-Koszul; D-module; resonance; monodromy; RANK;

D O I：

10.2140/ant.2012.6.527

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Classical theorems of Gel'fand et al. and recent results of Beukers show that nonconfluent Cohen-Macaulay A-hypergeometric systems have reducible monodromy representation if and only if the continuous parameter is A-resonant. We remove both the confluence and Cohen-Macaulayness conditions while simplifying the proof.

引用

页码：527 / 537

页数：11

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